Lesson 4.3: Multiplying Polynomials and Simplifying Expressions

Question 1

Which products result in a sum or difference of cubes? Check all that apply.

Revolt · Accepted Answer

(x – 1)(x2 + x + 1); (x + 4)(x2 – 4x + 16)

Question 2

Complete the steps to find an expression that represents the perimeter of the rectangle.

Revolt · Accepted Answer

16x – 2 + 4x + 8

Question 3

Complete the steps to find an expression that represents the perimeter of the rectangle.

Revolt · Accepted Answer

(20x + 6)

Question 4

A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form?

Revolt · Accepted Answer

n2 + 6n + 1

Question 5

Complete the steps to find an expression that represents the perimeter of the rectangle.

Revolt · Accepted Answer

2(8x – 1) + 2(2x + 4); 16x – 2 + 4x + 8; inches: (20x + 6)

Question 6

Find the product of (4z2 + 7z – 8) and (–z + 3).

Revolt · Accepted Answer

The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + z2 + z – 24.: 5; The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + z2 + z – 24.: 29

Question 7

Find the product of (4z2 + 7z – 8) and (–z + 3).

Revolt · Accepted Answer

✔ 5; The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + z2 + z – 24.: 5; The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + z2 + z – 24.: 29

Question 8

X –29–1313✔ 29

Revolt · Accepted Answer

✔ 29

Question 9

What is the product of 2p + q and –3q – 6p + 1?

Revolt · Accepted Answer

–12p2– 12pq + 2p – 3q2 + q

Question 10

What is the product of d – 9 and 2d2 + 11d – 4?

Revolt · Accepted Answer

2d3 – 7d2 – 103d + 36

Lesson 4.3: Multiplying Polynomials and Simplifying Expressions Answers